//#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
#include <set>
#include <unordered_set>
#include <queue>
#include <map>
#include <cmath>
#include <climits>
#include <iomanip>
#include <unordered_map>
#include <stdio.h>
#include <stack>
#include <list>
#include "complex"
#include <assert.h>

#define el '\n'
#define ll long long
#define ld long double
using namespace std;
//
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//
//using namespace __gnu_pbds;

#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>

const int N = 2e5 + 5, mod = 1e9 + 7, MAX = 1e9 + 1, M = 1e5;
long double PI = 3.14159265358979323846;;
#define point  complex<long double>
#define vec(a, b) b-a
#define dot(a, b) (long double)(conj(a)*b).real()
#define cross(a, b) (long double)(conj(a)*b).imag()
#define length(a) (hypot((a).imag(), (a).real()))
#define angle(a) atan2((a).imag(), (a).real())
int h, w;
//char a[201][201];
//int dx[] = {0, 0, -1, 1, 1, -1, -1, 1}, dy[] = {-1, 1, 0, 0, 1, -1, 1, -1};
//int dx[] = {-1, -1, 0, 0, 1, 1}, dy[] = {-1, 0, -1, 1, 0, 1};
//
//bool valid(int i, int j) {
//    return (i < h && i >= 0 && j < w && j >= 0);
//}
//
//bool vis[201][201];

ll mul(ll a, ll b) {
    return ((a % mod) * (b % mod)) % mod;
}

ll add(ll a, ll b) {
    return ((a % mod) + (b % mod)) % mod;
}

ll sub(ll a, ll b) {
    return ((((a + mod) % mod) - ((b + mod) % mod)) + mod) % mod;
}

ll fastpow(ll b, ll p) {
    if (p == 0)
        return 1;
    if (p == 1) {
        return b;
    }
    ll hp = fastpow(b, p / 2);
    ll ans = ((hp % mod) * (hp % mod)) % mod;

    if (p % 2) {
        ans = (ans * b) % mod;
    }

    return ans % mod;
}


void m() {
    int n, s;
    cin >> n >> s;
    int ans = 0, curr = s;
    while(n--){
        string x;
        cin >> x;
        int cost;
        if(x.size() == 1)
            cost = (x[0] - '0');
        else
            cost = (x[0] - '0') + 1;
        if(cost > curr){
            curr = s;
            ans++;
        }
        curr -= cost;
    }
    cout << ans;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
    //   cin>>t;
    while (t--) {
        m();
    }

}